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Hexadecimal to Binary

Hexadecimal to Binary Converter

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Hexadecimal to Binary Overview

A Hexadecimal to Binary Converter is a tool designed to convert numbers from the hexadecimal system (base-16) into the binary system (base-2). Hexadecimal values are commonly used in computing, digital electronics, and programming for compact representation of binary data.

While the binary system uses only 0 and 1, the hexadecimal system uses sixteen characters: 0–9 and A–F, where A = 10, B = 11, ..., F = 15.


Conversion Principle:


Each hex digit corresponds to a 4-bit binary number.

To convert hexadecimal to binary, replace every hex digit with its 4-bit binary equivalent.


Example:

Hexadecimal: 2F

β†’ 2 = 0010, F = 1111

β†’ Binary = 00101111


Common Uses for Hexadecimal to Binary Conversion:


  • Programming: Memory addresses and machine code are often shown in hexadecimal but processed in binary.
  • Networking: MAC addresses, IP packet headers, and hash values use hexadecimal.
  • Digital Electronics: Register values and hardware debugging often involve hex-to-binary decoding.
  • Color Codes: Web color codes like #FF5733 are hexadecimal, converting to binary for pixel manipulation.
  • Cryptography: Binary equivalents of hex keys and encrypted values are vital in encryption processes.


Key Features of Hexadecimal to Binary Converter:


  • Precise Mapping: Each hex digit is accurately converted to 4 binary bits.
  • Real-Time Conversion: Instant binary output with every character entered.
  • Handles Both Integers and Fractions: Convert values like 1A.F accurately.
  • Supports Long Values: No size limit for input values.
  • User-Friendly Interface: Designed for students, developers, and hardware professionals.
  • Copy-Friendly: Binary output can be copied directly for development use.


The Hexadecimal to Binary Converter makes it simple to convert compact hex data into expanded binary format for any technical application.



How It Works

Enter a Hexadecimal Number:

For example, 4C, 1A3, or F.8.


Conversion Happens Instantly:

Each digit is converted to its 4-bit binary form.


Read the Full Binary Result:

See the result update in real-time.


Apply in Your Work:

Use for embedded development, assembly code, or decoding instructions.


Examples

Formula:

Each Hex Digit β†’ 4-Bit Binary Equivalent


Example 1: Hex: A2

β†’ A = 1010, 2 = 0010 β†’ Binary = 10100010


Example 2: Hex: 1F4

β†’ 1 = 0001, F = 1111, 4 = 0100 β†’ Binary = 000111110100

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Example 3: Hex: 9.B

β†’ 9 = 1001, . = ., B = 1011 β†’ Binary = 1001.1011

Reference Tables

Hexadecimal

Binary

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

8

1000

9

1001

A

1010

B

1011

C

1100

D

1101

E

1110

F

1111


Steps to Convert Hexadecimal to Binary:


  1. Write down the hexadecimal number.
  2. Replace each hex digit with its 4-bit binary equivalent using the reference table.
  3. Combine all the binary groups to form the final binary number.


Formula:

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Binary = Join(4-bit binary values for each hex digit)

Additional Information

    A Unique Explanation for the Hexadecimal to Binary Converter:


    Hexadecimal (base-16) is favored in computing because it offers a more human-readable alternative to binary (base-2) while retaining accuracy. Since one hex digit equals four binary digits, conversion is fast and lossless.


    Example:


    Hex: 1E

    β†’ 1 = 0001, E = 1110 β†’ Binary = 00011110


    This conversion is widely used in low-level computing, system design, data encoding, and educational applications

    .

    Hexadecimal to Binary Conversion Table


    Hex

    Binary

    A

    1010

    B

    1011

    C

    1100

    D

    1101

    E

    1110

    F

    1111

    1F

    00011111

    4B

    01001011

    2A

    00101010

    7C

    01111100

    F0

    11110000

    3D

    00111101

    FAQs


    1. What is hexadecimal to binary conversion?

    It's the process of converting a base-16 number into a base-2 number by mapping each hex digit to a 4-bit binary string.


    2. Why is hex used instead of binary?

    Hex is more compact and readable. One hex digit represents four binary digits, simplifying long binary strings.


    3. How do I convert a hexadecimal fraction?

    Convert the integer and fractional parts separately using the 4-bit mapping.


    4. Is this conversion used in real-world applications?

    Yes, it’s used in color coding, file formats, memory dumps, encryption, and more.


    5. Can this tool convert large hex values?

    Yes, the converter supports long hexadecimal numbers without performance issues.